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Finding the Third Proportional to 150,270,993 and 229,875,644

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Solution

The third proportional to 150,270,993 and 229,875,644 is: 351,650,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,270,993 : 229,875,644 = 229,875,644 : x
  2. Step 2: Convert to fraction form
    150,270,993/229,875,644 = 229,875,644/x
  3. Step 3: Cross multiply
    150,270,993x = 229,875,644 × 229,875,644
  4. Step 4: Simplify right side
    150,270,993x = 52,842,811,704,414,736
  5. Step 5: Solve for x
    x = 52,842,811,704,414,736/150,270,993
  6. Step 6: Final answer
    x = 351,650,113.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.